Math, asked by mohit21314, 1 year ago

find two rational numbers between 1/2 and 1/3

Answers

Answered by siddardha100
1
5/4 and 19/12 are the answers
Answered by tejasgupta
25

Answer:

7/18 and 8/18 or 4/9

Step-by-step explanation:

\text{To find 2 rational numbers between $\dfrac{1}{2}$ and $\dfrac{1}{3}$, first, take the LCM of their denominators}\\\\\\\text{and, write their equivalent fractions having the same denominator.}\\\\\text{LCM of 2 and 3 is 6.}\\\\\text{$\dfrac{1}{2} = \dfrac{1 \times 3}{2 \times 3} = \dfrac{3}{6}$}\\\\\\\text{$\dfrac{1}{3} = \dfrac{1 \times 2}{3 \times 2} = \dfrac{2}{3}$}\\\\\\\text{Now, the next step is to multiply the fractions by $\dfrac{n+1}{n+1}$, where n is the no. of rational}

\text{numbers to be found. So, in case, we have to find 2 rational numbers, so we will}\\\text{multiply the fractions by}}\\\\\dfrac{2+1}{2+1} = \dfrac{3}{3}\\\\\\\text{Now,}\\\\\dfrac{3 \times 3}{6 \times 3} = \dfrac{9}{18}\\\\\\\text{And,}\\\\\dfrac{2 \times 3}{6 \times 3} = \dfrac{6}{18}\\\\\\\text{Clearly, 2 rational numbers between $\dfrac{1}{2}$ and $\dfrac{1}{3}$ or $\dfrac{9}{18}$ and $\dfrac{6}{18}$ are:}\\

\large \boxed{\boxed{\bold{\dfrac{7}{18}, \: and \: \dfrac{8}{18}, \: or \: \dfrac{4}{9}.}}}

Hope it helps !! Do comment if you have any doubts.


CoolestCat015: Great Answer !
tejasgupta: Thanks!
Tomboyish44: Awesome work!
tejasgupta: Thanks!
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